| Description |
1 online resource (xii, 144 pages) |
|
text file PDF |
| Contents |
Frontmatter -- Preface -- Contents -- Notation -- 1. Prerequisites -- 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- 3. Abelian and minimal normal subgroups -- 4. Reduction theorems -- 5. Subgroups in the chief series, derived series, and lower nilpotent series -- 6. Normal subgroups with abelian sylow subgroups -- 7. The formation generation -- 8. Groups with specific classes of subgroups complemented -- Bibliography -- Author index -- Subject index. |
| Summary |
Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. ContentsPrerequisitesThe Schur-Zassenhaus theorem: A bit of history and motivationAbelian and minimal normal subgroupsReduction theoremsSubgroups in the chief series, derived series, and lower nilpotent seriesNormal subgroups with abelian sylow subgroupsThe formation generationGroups with specific classes of subgroups complemented. |
| Bibliography |
Includes bibliographical references and indexes. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Language |
In English. |
| Subject |
Finite groups.
|
|
Finite groups. |
|
Sylow subgroups.
|
|
Sylow subgroups. |
| Indexed Term |
(Produktform)Electronic book text |
|
(Zielgruppe)Fachpublikum/ Wissenschaft |
|
(BISAC Subject Heading)MAT014000 |
|
(BISAC Subject Heading)MAT008000: MAT008000 MATHEMATICS / Discrete Mathematics |
|
Normale Gruppe |
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Untergruppe |
|
(VLB-WN)9620 |
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(Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke |
| Genre/Form |
Electronic books.
|
| Other Form: |
bundle 9783110480221 |
|
EPUB 9783110478921 |
|
print 9783110478792 |
| ISBN |
9783110480214 |
|
3110480212 |
|
9783110478921 |
|
3110478927 |
|
9783110480221 |
|
3110480220 |
|
311047879X |
|
9783110478792 |
| Standard No. |
10.1515/9783110480214 |
|
9783110480214 |
|
urn:nbn:de:101:1-201710047442 |
|
9783110478921 |
|
urn:nbn:de:101:1-201710049675 |
|
